A new class of secant-like methods for solving nonlinear systems of equations
- Ezquerro, J.A. 2
- Grau, A. 1
- Grau-Sánchez, M. 1
- Hernández-Verón, M.A. 2
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1
Universitat Politècnica de Catalunya
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2
Universidad de La Rioja
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ISSN: 1559-3940
Datum der Publikation: 2014
Ausgabe: 9
Nummer: 2
Seiten: 201-213
Art: Artikel
Andere Publikationen in: Communications in Applied Mathematics and Computational Science
Projekte im Zusammenhang
Zusammenfassung
Applying twice an idea of Hernandez and Rubio (2002) for constructing a one-parameter family of secant-like methods, we define a two-parameter family of secant-like methods for solving nonlinear systems of equations. We analyze the efficiency of this new family and conclude that the Kurchatov method, which is one member of the family, is the most efficient. We illustrate this with Troesch's problem.